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Finding the Fourth Proportional to 1,057.64, 1,585.88 and 537.30

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Solution

The fourth proportional to 1,057.64, 1,585.88 and 537.30 is: 805.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.64 : 1,585.88 = 537.30 : x
  2. Step 2: Convert to fraction form
    1,057.64/1,585.88 = 537.30/x
  3. Step 3: Cross multiply
    1,057.64x = 1,585.88 × 537.30
  4. Step 4: Simplify right side
    1,057.64x = 852,090.64
  5. Step 5: Solve for x
    x = 852,090.64/1,057.64
  6. Step 6: Final answer
    x = 805.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.